Constrained PI tracking control for the output pdfs based on T-S fuzzy mode

International Journal of Innovative Computing, Information and Control

Volumn 5, Issue 2, 2009, Pages 349-358

  Yang, Yi ^a   Lei, Guo ^b  

^a SOUTHEAST UNIVERSITY   (China)

^b BEIHANG UNIVERSITY   (China)

Author keywords

B spline neural network; Non Gaussian stochastic systems; Peak to peak performance; PI controller; Probability density function; T S Fuzzy model

Indexed keywords

EID: 64349122738     PISSN: 13494198     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. K. J. Astrom, Introduction to Stochastic Control Theory, Academic, New York, 1970.
2. G. C. Goodwin and K. S. Sin, Adaptive Filtering, Prediction and Control, Englewood Cliffs, NJ: Prentice-Hall, 1984.
3. E. K. Boukas, Stabilization of stochastic nonlinear hybrid systems, International Journal of Innovative Computing, Information and Control, vol.1, no.l, pp.131-141, 2005.
4. P. Shi, Y. Q. Xia, G. P. Liu and D. Rees, On designing of sliding-mode control for stochastic jump systems, IEEE Trans. Automatic Control, vol.51, no.l, pp.97-103, 2006.
5. H. Wang, Bounded Dynamic Stochastic Systems: Modelling and Control, Springer-Verlag, London, 2000.
6. H. Wang, Control of conditional output probability density functions for general nonlinear and non-Gaussian dynamic stochastic systems, IEE Proc. Control Theory and Application, vol.150, no.l, pp.55-60, 2003.
7. M. G. Forbes, M. Guay and J. F. Forbes, Control design for first-order processes: Shaping the probability density of the process state, Journal of Process Control, vol.14, pp.399-410, 2004.
8. O. Elbeyli, L. Hong and J. Q. Sun, On the feedback control of stochastic systems tracking prespecified probability density functions, Institute of Measurement and Control, vol.27, no.5, pp.319-329, 2005.
9. L. Guo and H. Wang, Generalized discrete-time PI control of output PDFs using square root b-spline expansion, Automatica, vol.41, pp. 159-162, 2005.
10. L. Guo and H. Wang, PID controller design for output PDFs of stochastic systems using linear matrix inequalities, IEEE Trans. Systems, Man and Cybernetics-B, vol.35, no.l, pp.65-71, 2005.
11. L. Guo and H. Wang, Fault detection and diagnosis for general stochastic systems using B-spline expansions and nonlinear filters, IEEE Trans. Circuits and Systems-I: Regular Papers, vol.52, no.8, pp.1644-1652, 2005.
12. L. X. Wang, Adaptive Fuzzy Systems and Control: Design and Stability Analysis, Englewood Cliffs, NJ: Prentice-Hall, 1994.
13. Y. Shi and M. Mizumoto, Some considerations on conventional neuro-fuzzy learning algorithms by gradient descent method, Fuzzy Sets and Systems, vol.112, no.l, pp.51-63, 2000.
14. T. Takagi and M. Sugeno, Fuzzy identification of systems and its applications to modeling and control, IEEE Trans. Systems, Man and Cybernetics, vol.15, no.l, pp.116-132, 1985.
15. H. G. Zhang, D. D. Yang and T. Y. Chai, Guaranteed cost networked control for T-S fuzzy systems with time delays, IEEE Trans. Systems, Man and Cybernetics-C, Vol.37, No.2, pp.160-172, 2007.
16. X. J. Ban, X. Z. Gao, X. L. Huang and H. Yin, Stability analysis of the simplest T-S fuzzy control system using popov criterion, International Journal of Innovative Computing, Information and Control, vol.3, no.5, pp. 1087-1096, 2007.
17. S. C. Tong, W. Wang and L. J. Qu, Decentralized robust control for uncertain T-S fuzzy large-scale systems with time-delay, International Journal of Innovative Computing, Information and Control, vol.3, no.3, pp. 657-672, 2007.
18. ∞ Fuzzy output feedback control design for nonlinear systems: An LMI approach, IEEE Trans. Fuzzy Systems, Vol.11, No.3, pp.331-340, 2003.
19. F. Zheng, Q. G. Wang and T. H. Lee, Output tracking control of MIMO fuzzy nonlinear systems using variable structure control approach, IEEE Trans. Fuzzy Systems, vol.10, pp.686-697, 2002.
20. Z. D. Wang, W. C. H. Daniel and X. H. Liu, A note on the robust stability of uncertain stochastic fuzzy systems with time-delays, IEEE Trans. Systems, Man and Cybernetics-A, vol.34, pp.4, pp.570-576, 2004.
21. T. Taniguchi, K. Tanaka and H. O. Wang, Fuzzy descriptor systems and nonlinear model following control, IEEE Trans. Fuzzy Systems, vol.8, pp.442-452, 2000.
22. C. S. Tseng, B. S. Chen and H. J. Uang, Fuzzy tracking control design for nonlinear dynamic systems via T-S fuzzy model, IEEE Trans. Fuzzy Systems, vol.9, pp.381-392, 2001.
23. C. Scherer and S. Weiland, Lecture Notes DISC Course on Linear Matrix Inequalities in Control, Dutch Institute of Systems and Control, Delft, The Netherlands, 2000.